On the quantization of presymplectic dynamical systems via coisotropic imbeddings

DOI10.1007/BF01237045zbMath0508.58024OpenAlexW1979455464MaRDI QIDQ1837965

Mark J. Gotay, Jędrzej Śniatycki

Publication date: 1981

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01237045

zbMATH Keywords

polarizationpresymplectic manifoldKostant-Souriau quantizationcoisotropic imbedding

Mathematics Subject Classification ID

General quantum mechanics and problems of quantization (81S99) Geometric quantization (53D50)

Related Items (15)

Covariant geometric quantization of nonrelativistic time-dependent mechanics ⋮ Poisson reduction and quantization for the n+1 photon ⋮ Geometric quantization of Dirac manifolds ⋮ Algebraic structure of the gradient-holonomic algorithm for Lax integrable nonlinear dynamical systems. II. The reduction via Dirac and canonical quantization procedure ⋮ Constraints, reduction, and quantization ⋮ On Coisotropic Imbeddings of Presymplectic Manifolds ⋮ Coisotropic regularization of singular Lagrangians ⋮ Deformation quantization of framed presymplectic manifolds ⋮ Whiskered tori for presymplectic dynamical systems ⋮ The quantum theory of second class constraints: Kinematics ⋮ An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems ⋮ Straightforward Hamiltonian analysis of \textit{BF} gravity in \(n\) dimensions ⋮ On the quantization of presymplectic dynamical systems via coisotropic imbeddings ⋮ Geometric quantization of presymplectic manifolds ⋮ Quantization and bosonic BRST theory

Cites Work

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• Geometric quantization and quantum mechanics
• The Bott obstruction of the existence of nice polarizations
• Lectures on geometric quantization
• Wave functions relative to a real polarization
• On representation spaces in geometric quantization
• On the quantization of presymplectic dynamical systems via coisotropic imbeddings
• Presymplectic manifolds and the Dirac–Bergmann theory of constraints
• Some Problems in Integral Geometry and Some Related Problems in Micro-Local Analysis
• Foundations of Quantum Mechanics
• Canonical Dynamics of Spinning Particles in Gravitational and Electromagnetic Fields

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